Near-maximum principle for general recursive utility optimal control problem
Shuzhen Yang
Abstract
Shuzhen Yang
Abstract
In this study, we introduce a general recursive utility optimal control problem driven by a fully nonlinear stochastic differential system. In order to investigate Pontryagin's stochastic maximum principle for this new optimal control problem, we establish the near-optimal control system for the original problem and obtain the related near-maximum principle. Two examples are also provided to illustrate the near-maximum principle.
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In this study, we introduce a general recursive utility optimal control problem driven by a fully nonlinear stochastic differential system. In order to investigate Pontryagin's stochastic maximum principle for this new optimal control problem, we establish the near-optimal control system for the original problem and obtain the related near-maximum principle. Two examples are also provided to illustrate the near-maximum principle.
Key concepts: Maximum principle, Optimal control, Pontryagin's minimum principle, Separation principle, Mathematics, Mathematical optimization, Stochastic control, Nonlinear system